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Finding the Third Proportional to 136,176 and 210,006

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Solution

The third proportional to 136,176 and 210,006 is: 323,864.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,176 : 210,006 = 210,006 : x
  2. Step 2: Convert to fraction form
    136,176/210,006 = 210,006/x
  3. Step 3: Cross multiply
    136,176x = 210,006 × 210,006
  4. Step 4: Simplify right side
    136,176x = 44,102,520,036
  5. Step 5: Solve for x
    x = 44,102,520,036/136,176
  6. Step 6: Final answer
    x = 323,864.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.